SOLUTION: i have this question on matrix: evaluate 1 1 1 a b c a^2 b^2 c^2

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Question 1180578: i have this question on matrix:
evaluate 1 1 1
a b c
a^2 b^2 c^2
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Determinant of this matrix is  (a-b)*(a-c)*(b-c).     ANSWER



To calculate the determinant, exclude "a" and "a^2" from the first column by making elementary transformations of rows.



Then calculate the determinant of the associated (2 x 2)-matrix.